Students using the limits method initially choose unphysical integration limits, failing to consider the functional relationship between limits on either side of the equal sign¶

Claim · All claims
Evidence · 1 study · qualitative r2 · q2
Currency · newest study 2009 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? Both miniview groups first chose unphysical limits, failing to consider the functional relationship of the upper and lower limits on either side of the equal sign. → Black 2009

Evidence¶

Black 2009¶

Black, K.E. and Wittmann, M.C. (2009). Understanding the use of two integration methods on separable first order differential equations. https://perlnet.umaine.edu/imt/

q2 · i? · the article prints no effect size for this finding · qualitative · r2

Transcript analysis of two miniview groups solving an air resistance problem with a non-zero initial velocity of 366 m/s. The authors report both groups "first chose unphysical limits", e.g. matching t = 0 with v = 0 by rules of thumb; the problem's non-zero initial velocity was chosen deliberately to elicit such responses.

"Both Groups A and B first chose unphysical limits, failing to consider the functional relationship of the upper and lower limits on either side of the equal sign."

Discussion¶

Related Claims¶

• Students initially leave variables out of their integration limits, using only numerical values, suggesting that variable ('running') limits of integration are unfamiliar — possibly the same claim (merge candidate)
• Intermediate mechanics students start the semester more familiar with the integration constants (+C) method than with the limits method, and the +C method remains preferred by at least one student even after instruction modeling the limits method — related